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Finding the Fourth Proportional to 167.85, 231.59 and 105.69

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Solution

The fourth proportional to 167.85, 231.59 and 105.69 is: 145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.85 : 231.59 = 105.69 : x
  2. Step 2: Convert to fraction form
    167.85/231.59 = 105.69/x
  3. Step 3: Cross multiply
    167.85x = 231.59 × 105.69
  4. Step 4: Simplify right side
    167.85x = 24,476.75
  5. Step 5: Solve for x
    x = 24,476.75/167.85
  6. Step 6: Final answer
    x = 145.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.